Name: Place Value of Digits in a Decimal Fraction
Uploaded: 2019-07-19
Duration: 3 min 24 s
Description: You must have seen people fill fuel in their vehicles. Have you observed the price is always different with different decimal points? Watch this video to lea...

Question

A two-digit number divided by another two-digit number gives

5.875

. What are the numbers.

Accepted Answer

It is given that a two-digit number when divided by another two-digit number gives $5.875$ .

We need to find the numbers.

First let us convert the decimal number $5.875$ into fraction.

We know that to express a decimal number as a fraction we need to keep the given number as the numerator without a decimal point and writing $1$ in the denominator followed by as many zeroes on the right as the number of decimal places in the given decimal number has.

Thus, $5.875 = \frac{5875}{1000}$ ( $∵$ there are $3$ digits in the decimal part of the given decimal number).

Now, reducing the fraction $\frac{5875}{1000}$ into simplest form we get:

$\frac{5875}{1000} = \frac{5875 \div 125}{1000 \div 125} = \frac{47}{8}$ (dividing both numerator and denominator by its $HCF$ $125$ )

So,the equivalent of $5.875 = \frac{47}{8}$

Here, the numerator and denominator are two digit number, so multiplying the fraction by $2$ in numerator and denominator gives the same ratio.

Thus, $\frac{47}{8} \times \frac{2}{2} = \frac{94}{16}$

Since, $\frac{94}{16} = \frac{94 \times 625}{16 \times 625} = \frac{58750}{10000} = 5.875$

Hence, the two numbers are $94$ and $16$ .

A two-digit number divided by another two-digit number gives $5.875$ . What are the numbers.

Important Questions on Decimal Forms

Learn and Prepare for any exam you want !

A two-digit number divided by another two-digit number gives 5.875. What are the numbers.

Important Questions on Decimal Forms

Learn and Prepare for any exam you want !

A two-digit number divided by another two-digit number gives $5.875$ . What are the numbers.